9788768640 has 384 divisors, whose sum is σ = 40905933120. Its totient is φ = 2105671680.

The previous prime is 9788768629. The next prime is 9788768641. The reversal of 9788768640 is 468678879.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9788768641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 678300 + ... + 692580.

Almost surely, 2^9788768640 is an apocalyptic number.

9788768640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9788768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20452966560).

9788768640 is an abundant number, since it is smaller than the sum of its proper divisors (31117164480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9788768640 is a wasteful number, since it uses less digits than its factorization.

9788768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14330 (or 14315 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The square root of 9788768640 is about 98938.2061693055. The cubic root of 9788768640 is about 2139.1571374297.

The spelling of 9788768640 in words is "nine billion, seven hundred eighty-eight million, seven hundred sixty-eight thousand, six hundred forty".